基于改进HHT方法的密集模态结构参数识别
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摘要
针对Hilbert-Huang变换(HHT)方法在识别结构模态参数中存在的经验模式分解(EMD)模态分解能力不足以及固有模式函数(IMF)分量之间不正交这2个问题,分别提出采用波组信号前处理和正交化经验模式分解的方法予以改进,并将此方法称为改进的Hilbert-Huang变换方法。在介绍正交化经验模式分解方法和波组信号前处理基本原理的基础上,给出基于此改进Hilbert-Huang变换方法识别结构模态参数的基本步骤,并通过一个具有密集模态的三自由度结构在脉冲荷载激励下的模态参数识别算例予以验证。研究结果表明:该方法可有效识别密集模态结构的模态参数,且识别效果优于基于HHT的模态参数识别方法的效果。
In the modal parameters identification proceeding using Hilbert-Huang transform(HHT) method,there exist some problems such as the deficiency of mode separation of empirical mode decomposition(EMD) and the non-othogonality between the intrinsic mode function(IMF) components.For these two problems,the improved Hilbert-Huang transform method which combined the wave group(WG) signal preceding method with the orthogonal empirical mode decomposition(OEMD) was proposed.The basic principle of OEMD and the wave group(WG) signal preceding method were introduced,and the basic procedure of modal parameters identification using the newly improved HHT method was proposed and applied in the modal parameters identification of structures.A 3-DOF structure with closely spaced modes during the impulse excitation was used to validate this method.The results show that the proposed improved HHT method can identify the modal parameters efficiently and is better than the traditional HHT method.
In the modal parameters identification proceeding using Hilbert-Huang transform(HHT) method,there exist some problems such as the deficiency of mode separation of empirical mode decomposition(EMD) and the non-othogonality between the intrinsic mode function(IMF) components.For these two problems,the improved Hilbert-Huang transform method which combined the wave group(WG) signal preceding method with the orthogonal empirical mode decomposition(OEMD) was proposed.The basic principle of OEMD and the wave group(WG) signal preceding method were introduced,and the basic procedure of modal parameters identification using the newly improved HHT method was proposed and applied in the modal parameters identification of structures.A 3-DOF structure with closely spaced modes during the impulse excitation was used to validate this method.The results show that the proposed improved HHT method can identify the modal parameters efficiently and is better than the traditional HHT method.
引文
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[7]Yan B F,Miyamoto A.A comparative study of modal parameter identification based on wavelet and Hilbert-Huang transforms[J].Computer-Aided Civil and Infrastructure Engineering,2006,21:9-23.
[8]沈国际,陶利民,陈仲生.多频信号经验模态分解的理论研究及应用[J].振动工程学报,2005,18(1):91-94.SHEN Guo-ji,TAO Li-min,CHEN Zhong-sheng.Theoretical research on empirical mode decomposition of multi-frequency signal and its application[J].Journal of Vibration Engineering,2005,18(1):91-94.
[9]Wang W.Decomposition of wave groups with EMD method[C]//Huang N E.The Hilbert-Huang transform in engineering.Taylor&Francis Group.London:CRC Press,2005:267-280.
[10]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293-298.LOU Meng-lin,HUANG Tian-li.The orthogonal empirical mode decomposition[J].Journal of Tongji University:Natural Science,2007,35(3):293-298.
[2]Huang N E,Shen Z,Long S R.A new view of nonlinear water waves:the Hilbert Spectrum[J].Annual Review of Fluid Mechanics,1999,31:417.
[3]Yang J N,Lei Y,Pan S,et al.System identification of linear structures based on Hilbert Huang spectral analysis.Part 1:Normal modes[J].Earthquake Engineering and Structural Dynamics,2003,32:1443.
[4]陈隽,徐幼麟.HHT方法在结构模态参数识别中的应用[J].振动工程学报,2003,16(3):383-388.CHEN Jun,XU You-lin.Application of HHT for modal parameter identification to civil structures[J].Journal of Vibration Engineering,2003,16(3):383-388.
[5]陈隽,徐幼麟,李杰.Hilbert-Huang变换在密频结构阻尼识别中的应用[J].地震工程与工程振动,2003,23(4):34-42.CHEN Jun,XU You-lin,LI Jie.Hilbert-Huang transform for damping ratio identification of structures with closely spaced modes of vibration[J].Earthquake Engineering&Engineering Vibration:Chinese Edition,2003,23(4):34-42.
[6]黄天立,楼梦麟.基于HHT的非线性结构系统识别研究[J].地震工程与工程振动,2006,26(3):48-52.HUANG Tian-li,LOU Meng-lin.System identification of nonlinear structures based on HHT[J].Earthquake Engineering&Engineering vibration:Chinese Edition,2006,26(3):48-52.
[7]Yan B F,Miyamoto A.A comparative study of modal parameter identification based on wavelet and Hilbert-Huang transforms[J].Computer-Aided Civil and Infrastructure Engineering,2006,21:9-23.
[8]沈国际,陶利民,陈仲生.多频信号经验模态分解的理论研究及应用[J].振动工程学报,2005,18(1):91-94.SHEN Guo-ji,TAO Li-min,CHEN Zhong-sheng.Theoretical research on empirical mode decomposition of multi-frequency signal and its application[J].Journal of Vibration Engineering,2005,18(1):91-94.
[9]Wang W.Decomposition of wave groups with EMD method[C]//Huang N E.The Hilbert-Huang transform in engineering.Taylor&Francis Group.London:CRC Press,2005:267-280.
[10]楼梦麟,黄天立.正交化经验模式分解方法[J].同济大学学报:自然科学版,2007,35(3):293-298.LOU Meng-lin,HUANG Tian-li.The orthogonal empirical mode decomposition[J].Journal of Tongji University:Natural Science,2007,35(3):293-298.
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